Second-order sliding fuzzy interval type-2 control for an uncertain system with real application

IEEE Transactions on Fuzzy Systems

Volumn 20, Issue 2, 2012, Pages 262-275

  Manceur, Malik ^a   Essounbouli, Najib ^a   Hamzaoui, Abdelaziz ^a  

^a UNIVERSITÉ DE REIMS CHAMPAGNE ARDENNE   (France)

Author keywords

Lyapunov stability; nonlinear uncertain systems; one link manipulator; second order sliding mode control (SMC); type 2 fuzzy systems

Indexed keywords

ADAPTATION LAW; ADAPTIVE FUZZY; FUZZY CONTROLLERS; FUZZY INTERVAL; GLOBAL MODELS; LOCAL MODEL; LYAPUNOV SENSE; LYAPUNOV STABILITY; NONLINEAR UNCERTAIN SYSTEMS; OPERATING POINTS; OPTIMAL VALUES; ORIGINAL ALGORITHMS; PERTURBED SYSTEMS; REAL APPLICATIONS; REAL-TIME APPLICATION; SECOND ORDERS; SECOND-ORDER SLIDING-MODE CONTROL; SLIDING MODES; SLIDING SURFACE; STABILITY ANALYSIS; SUPER-TWISTING; SYSTEM MODELS; TRACKING CONTROL PROBLEM; TYPE-2 FUZZY SYSTEMS; UPPER BOUND;

ALGORITHMS; MANIPULATORS; ONLINE SYSTEMS; SLIDING MODE CONTROL;

UNCERTAIN SYSTEMS;

EID: 84859705598     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/TFUZZ.2011.2172948     Document Type: Article

References (54)

1. J. B. D Cabrera and K. S Narendra, "Issues in the application of neural networks for tracking based on inverse control," IEEE Trans. Autom. Control, vol. 44, no. 11, pp. 2007-2027, Nov. 1999. (Pubitemid 30531637)
2. L. X.Wang, "Fuzzy systems are universal approximators," in Proc. IEEE Int. Conf. Fuzzy Syst., San Diego, CA, 1992, pp. 1163-1169.
3. J.J Buckley, "Sugeno type controllers are universal controllers," Fuzzy Sets Syst., vol. 53, pp. 299-303, 1993.
4. J.L Castro, "Fuzzy logic controllers are universal approximators," IEEE Trans. Syst., Man, Cybern., vol. 25, no. 4, pp. 629-635, Apr. 1995.
5. R. R. Yager and V. Kreinovich, "Universal approximation theorem for uniform-based fuzzy systems modeling," Fuzzy Sets Syst., vol. 140, no. 2, pp. 331-339, 2003.
6. K. Tanaka and H. O. Wang, Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach. New York: Wiley, 2001.
7. A. Al khazraji, N. Essounbouli, A. Hamzaoui, F. Nollet, and J. Zaytoon, "Type-2 fuzzy sliding mode control without reaching phase for nonlinear system," Eng. Appl. Artif. Intell., vol. 24, pp. 23-28, 2011.
8. C. S. Lee, M. H. Wang, and H. Hagras, "A type-2 fuzzy ontology and its application to personal diabetic-diet recommendation," IEEE Trans. Fuzzy Syst., vol. 12, no. 2, pp. 374-395, Apr. 2010.
9. K. Chafaa, L. Saidi, M. Ghanai, and K Benmahammed, "Indirect adaptive interval Type-2 fuzzy control for nonlinear systems," Int. J. Model., Identification Control, vol. 2, no. 2, pp. 106-119, 2007. (Pubitemid 47323182)
10. K. Chafaa, L. Saidi, M. Ghanai, and K Benmahammed, "Direct adaptive Type-2 fuzzy control for nonlinear systems," Int. J. Comput. Intell. Appl., vol. 6, no. 3, pp. 389-411, 2006.
11. H. A. Hagras, "A hierarchical Type-2 fuzzy logic control architecture for autonomous mobile robots," IEEE Trans. Fuzzy Syst., vol. 12, no. 4, pp. 524-539, Aug. 2004.
12. A. Mencattini, M. Salmeri, and R. Lojacono, "Type-2 fuzzy sets for modeling uncertainty in measurement," in Proc. IEEE Int. Workshop Adv. Methods Uncertainty Estimat. Meas., vol. 20, no. 21, Sardagna, Italy, Apr. 2006, pp. 8-13. (Pubitemid 44932008)
13. D.Wu and J.M.Mendel, "Computingwithwords for hierarchical decision making applied to evaluating a weapon system," IEEE Trans. Fuzzy Syst., vol. 18, no. 3, pp. 441-460, Jun. 2010.
14. O. Castillo and P. Melin, Type-2 Fuzzy Logic: Theory and Applications. Berlin, Germany: Springer-Verlag, 2008.
15. V. I. Utkin, SlidingModes inControlOptimisation. NewYork: Springer-Verlag, 1992.
16. V. I. Utkin, "Variable structure systems with sliding modes," IEEE Trans. Autom. Control, vol. AC-22, no. 2, pp. 212-222, Apr. 1977.
17. J. J. Slotine and L. Weiping, Applied Nonlinear Control. Englewood Cliffs, NJ: Prentice-Hall, 1991.
18. L. Fridman and A. Levant, "Higher-order slidingmodes," in SlidingMode Control in Engineering,W. Perruquetti and J. P. Barbot, Eds. New York: Marcel Dekker, 2002, ch. 2.
19. V. I. Utkin, Sliding Modes and Their Application in Variable Structure Systems. Moscow, Russia, MIR, 1978.
20. J. J. Slotine, "Sliding controller design for nonlinear systems," Int. J. Control, vol. 40, no. 2, pp. 421-434, 1984.
21. G. Sang, L. Cai, Y. Wang, and R.W. Longman, "A sliding-mode based smooth adaptive robust controller for friction compensation," Int. J. Robust Nonlinear Control, vol. 8, pp. 725-739, Dec. 1998. (Pubitemid 128631714)
22. J.Y. Humg,W.Gao, and J. C. Hung, "Variable structure control:Asurvey," IEEE Trans. Ind. Electron., vol. 40, no. 1, pp. 2-22, Feb. 1993.
23. Y. J. Huang and T. C. Kuo, "A robust position control of DC servomechanism with output measurement noise," Electr. Eng., vol. 88, pp. 223-338, 2006.
24. K. Furuta, "VSS type self-tuning control," IEEE Trans. Ind. Electron., vol. 40, no. 1, pp. 37-44, Feb. 1993.
25. P. M. Lee and J. H. Oh, "Improvements on VSS type self-tuning control for a tracking controller," IEEE Trans. Ind. Electron., vol. 45, no. 2, pp. 319-325, Apr. 1998.
26. H. F. Ho, Y. K. Wong, and A. B. Rad, "Adaptive fuzzy sliding mode control with chattering elimination for nonlinear SISO systems," Simul. Model. Practice Theory, vol. 17, pp. 1199-1210, Aug. 2009.
27. A. Hamzaoui, N. Essounbouli, and J. Zaytoon, "Fuzzy sliding mode control for uncertain SISO systems," in Proc. Process. IFAC Conf. Intell. Control Syst. Signal, 2003, pp. 233-238.
28. J.Wang, A. B. Rad, and P. T. Chan, "Indirect adaptive fuzzy sliding mode control," Simul. Model. Practice Theory, vol. 17, pp. 1199-1210, Aug. 2009.
29. N. Noroozi, M. Roopaei, and M. Z. Jahromi, "Adaptive fuzzy sliding mode control scheme for uncertain systems," Commun. Nonlinear Sci. Numer. Simul., vol. 14, pp. 3978-3992, 2009.
30. X. Yu and O. Kaynak, "Sliding-mode control with soft computing: A survey," IEEE Trans. Ind. Electron., vol. 56, no. 9, pp. 3275-3285, Sep. 2009.
31. A. Levant, "Sliding order and sliding accuracy in sliding mode control," Int. J. Control, vol. 58, pp. 1247-1263, 1993.
32. S. Emelyanov, S. Korovin, and A. Levant, "High-order sliding modes in control systems," Comput. Math. Model., vol. 7, pp. 294-318, Jul. 1996. (Pubitemid 126114068)
33. G. Bartolini, A. Ferrara, and E. Ussai, "Output tracking control of uncertain nonlinear second-order systems," Automatica, vol. 33, pp. 2203-2212, Dec. 1997. (Pubitemid 127380286)
34. A. Pisano and E. Usai, "Sliding mode control: A survey with applications in math," Math. Comput. Simul., vol. 81, pp. 954-979, 2010.
35. A. Levant, "Higher-order sliding modes, differentiation and outputfeedback control" Int. J. Control, vol. 76, nos. 9/10, pp. 924-941, 2003.
36. A. Damiano, G. L. Gatto, I. Marongiu, and A. Pisano, "Second-order sliding-mode control of dc drives," IEEE Trans. Ind. Electron., vol. 51, no. 2, pp. 364-373, Apr. 2004.
37. M. K. Khan, K. B. Goh, and S. K. Spurgeon, "Second order sliding mode control of a diesel engine," Asian J. Control, vol. 5, no. 4, pp. 614-619, Dec. 2003.
38. G. Bartolini, A. Ferrara, A. Levant, and E. Ussai, "On second order sliding mode controllers," in Variable Structure Systems, Sliding Mode and Nonlinear Control. Berlin, Germany: Springer-Verlag, 1999.
39. S. Laghrouch, F. Plestan, and A. Glumieeu, "Higher order sliding mode control based on optimal linear quadratic control," Automatica, vol. 43, pp. 531-537, Mar. 2007. (Pubitemid 46209057)
40. N. N. Karnik, J. M. Mendel, and Q. Liang, "Type-2 fuzzy logic systems," IEEE Trans. Fuzzy Syst., vol. 7, no. 6, pp. 643-658, Dec. 1999. (Pubitemid 32212156)
41. J. Mendel, "Uncertainty, fuzzy logic and signal processing," Signal Process., vol. 80, pp. 913-933, Jun. 2000.
42. J. Mendel, "Fuzzy logic systems for engineering: A tutorial," IEEE Process., vol. 83, no. 3, pp. 345-377, Nov. 1995.
43. J. Mendel. (1998). "An introduction to type-2 fuzzy logic systems," Univ Southern California, Los Angeles, CA. [Online]. Available: http://sip.usc.edu mendel/report
44. J. Mendel, "Computing derivatives in interval type-2 fuzzy logic systems," IEEE Trans. Fuzzy Syst., vol. 12, no. 1, pp. 84-98, Feb. 2004.
45. D. Wu and J. Mendel, "Enhanced Karnik-Mendel algorithms," IEEE Trans. Fuzzy Syst., vol. 17, no. 4, pp. 923-934, Aug. 2009.
46. A. Hamzaoui, N. Essounbouli, K. Benmahammed, and J. Zaytoon, "State observer based robust adaptive fuzzy controller for nonlinear uncertain and perturbed systems," IEEE Trans. Syst., Man, Cybern., vol. 34, no. 2, pp. 942-950, Apr. 2004.
47. T. Takagi and M. Sugeno, "Fuzzy identification of systems and its applications to modeling and control," IEEE Trans. Syst., Man, Cybern., vol. SMC-15, no. 1, pp. 116-132, Jun./Feb. 1985.
48. M. Manceur, N. Essounbouli, and A. Hamzaoui, "Robust smooth sliding type-2 interval fuzzy control for uncertain system," in Proc. IEEE World Congr. Comput. Intell., Barcelona, Spain, 2010, pp. 2713-2720.
49. X. Yu, Z. Man, and B. Wu, "Design of fuzzy sliding-mode control systems," Fuzzy Sets Syst., vol. 95, no. 3, pp. 295-306, 1998. (Pubitemid 128654837)
50. L.XWang and J.MMendel, "Fuzzy basis functions, universal approximation, and orthogonal least-squares learning," IEEE Trans. Neural Netw., vol. 3, no. 5, pp. 807-814, Sep. 1992.
51. L. X. Wang, Adaptive Fuzzy Systems and Control: Design and Stability Analysis. Englewood Cliffs, NJ: Prentice-Hall, 1994.
52. B.BKook andW.Chul Hum, "Adaptive control of robot manipulator using fuzzy compensator," IEEE Trans. Fuzzy Syst., vol. 8, no. 2, pp. 718-737, Apr. 2000.
53. M. Hojati and S. Gazor, "Hybrid adaptive fuzzy identification and control of nonlinear systems," IEEE Trans. Fuzzy Syst., vol. 10, no. 2, pp. 198-210, Apr. 2002. (Pubitemid 34554864)
54. C. H.Wang, T. C. Lin, T. T. Lee, andH. L. Liu, "Adaptive hybrid intelligent control for uncertain nonlinear dynamical systems," IEEE Trans. Syst., Man Cybern., vol. 32, no. 5, pp. 583-597, Oct. 2002.